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Finding the Third Proportional to 57,334.92 and 116,572.92

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Solution

The third proportional to 57,334.92 and 116,572.92 is: 237,015.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,334.92 : 116,572.92 = 116,572.92 : x
  2. Step 2: Convert to fraction form
    57,334.92/116,572.92 = 116,572.92/x
  3. Step 3: Cross multiply
    57,334.92x = 116,572.92 × 116,572.92
  4. Step 4: Simplify right side
    57,334.92x = 13,589,246,114.47
  5. Step 5: Solve for x
    x = 13,589,246,114.47/57,334.92
  6. Step 6: Final answer
    x = 237,015.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.